Least Common Multiple of 6118 and 6124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6118 and 6124 the smallest integer that is 18733316 that is divisible by both numbers.

Least Common Multiple (LCM) of 6118 and 6124 is 18733316.

LCM(6118,6124) = 18733316

LCM of 6118 and 6124

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6118 and 6124

LCM of 6118 and 6124 is 18733316

Least common multiple can be found by multiplying the highest exponent prime factors of 6118 and 6124. First we will calculate the prime factors of 6118 and 6124.

Prime Factorization of 6118


2 6118
7 3059
19 437
23 23
1

Prime factors of 6118 are 2, 7, 19,23. Prime factorization of 6118 in exponential form is:

6118 = 21×71×191×231

Prime Factorization of 6124


2 6124
2 3062
1531 1531
1

Prime factors of 6124 are 2,1531. Prime factorization of 6124 in exponential form is:

6124 = 22×15311

Now multiplying the highest exponent prime factors to calculate the LCM of 6118 and 6124.

LCM(6118,6124) = 22×71×191×231×15311
LCM(6118,6124) = 18733316

Factors of 6118

List of positive integer factors of 6118 that divides 6118 without a remainder.

1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118

Factors of 6124

List of positive integer factors of 6124 that divides 6124 without a remainder.

1, 2, 4, 1531, 3062, 6124

Least Common Multiple of 6118 and 6124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6118 and 6124, than apply into the LCM equation.

GCF(6118,6124) = 2
LCM(6118,6124) = ( 6118 × 6124) / 2
LCM(6118,6124) = 37466632 / 2
LCM(6118,6124) = 18733316

Properties of LCM 6118 and 6124

(i) The LCM of 6124 and 6118 is associative

LCM of 6118 and 6124 = LCM of 6124 and 6118

Related Least Common Multiples of 6118

Related Least Common Multiples of 6124

Frequently Asked Questions on LCM of 6118 and 6124

1. What is the LCM of 6118 and 6124?

Answer: LCM of 6118 and 6124 is 18733316.

2. What are the Factors of 6118?

Answer: Factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118. There are 16 integers that are factors of 6118. The greatest factor of 6118 is 6118.

3. What are the Factors of 6124?

Answer: Factors of 6124 are 1, 2, 4, 1531, 3062, 6124. There are 6 integers that are factors of 6124. The greatest factor of 6124 is 6124.

4. How to Find the LCM of 6118 and 6124?

Answer:

Least Common Multiple of 6118 and 6124 = 18733316

Step 1: Find the prime factorization of 6118

6118 = 2 x 7 x 19 x 23

Step 2: Find the prime factorization of 6124

6124 = 2 x 2 x 1531

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18733316 = 2 x 2 x 7 x 19 x 23 x 1531

Step 4: Therefore, the least common multiple of 6118 and 6124 is 18733316.